Doctorate degree
1. Mandatory disciplines
Epistemological Bases in Science and Mathematics Education Teaching Research (3 Credit Units, 45 Credit Hours)
PPECM0010 - Syllabus: Discussion of the relations between conceptions of science and paradigmatic trends that, today, guide the theoretical-methodological options in research in education, particularly in Science Education and Mathematics. Analysis of master's / doctoral students' research projects, aiming to identify the mutual implications between theories, methods and techniques used in the construction and development of research.
Teaching Internship (4 Credit Units, 60 Credit Hours)
PPECM0130 - Syllabus: internship of masters and doctoral students in higher education.
Advanced Seminars (3 Credit Units, 45 Credit Hours)
PPECM0087 - Syllabus: Advanced Seminars are compulsory activities of the curriculum of the Doctoral degree in Science and Mathematics Education. They occur in three distinct moments of the course, aiming at evaluative monitoring of thesis projects under development.
Master's degree
1. Mandatory disciplines
Epistemological Bases of Science (4 Credit Units, 60 Credit Hours)
PPECM0003 - Syllabus: Approach of social and theoretical conditions that led to the emergence of Modern Science, focusing on the assumptions, objectives and methodologies that characterize it. Analysis of the evidence of the crisis of modernity and its implications in the process of scientific knowledge production, especially in education, and in the proposition of new epistemological bases for science and science teaching research.
Teaching Internship (4 Credit Units, 60 Credit Hours)
PPECM0130 - Syllabus: internship of masters and doctoral students in higher education.
Research Seminars (3 Credit Units, 45 Credit Hours)
Syllabus: Research Seminars are compulsory activities of the curriculum of the Master’s in Science and Mathematics Education, aiming at the continuous monitoring of research projects under development by the students.
Area of Concentration: Science Education
Science Education Trends (3 Credit Units, 45 Credit Hours)
PPECM0004 - Syllabus: The course aims to discuss conceptions of teaching and science in light of the various theoretical-methodological-epistemological trends produced throughout the national and international history of science education, as well as analyze the social conditions that led to the emergence of such trends, seeking to understand them in their limits and possibilities of contribution to science teaching.
Area of Concentration: Mathematical Education
Trends in Mathematics Education (3 credits, 45 hours)
PPECM0005 – Syllabus: Promote seminars on trends in Mathematics Education in relation to research and its application at different levels of education in order to support students interested in researching Mathematics Education, guiding elements for such research.
Master and Doctorate
1. Optional subjects
The Training of the Teacher Trainer (3 Credit Units, 45 Credit Hours)
PPECM0020 - Syllabus: The formation of Science and Mathematics teachers within a new professional culture. Training with professional development of teacher-research and reflective teachers about on their practices. The role of research in the Professional Development of Science and Mathematics teacher trainers. Trainers and research in the teaching of science and mathematics. The role of research in the Professional Development of Trainers.
Affectivity and Knowledge Building: sociocultural approach (3 Credit Units, 45 Credit Hours)
PPECM0034 - Syllabus: Basic concepts from the historical-cultural perspective. Semiotic mediation: instrument and sign. Development and learning. Zone of proximal development. Thought and language. Everyday concepts and scientific concepts. Cognition and Affectivity. Research on building scientific knowledge in teacher-student interactions and between students. Research on motivation and affectivity related to the construction of scientific knowledge.
The Entrails of School Life: The Problem-Based Rediscovery Adventure (3 Credit Units, 45 Credit Hours)
PPECM0019 - Syllabus: The course aims at the construction of the individual plan of activities of the teacher and the student for the teaching of science and biology for the elementary school, according to the new curricular guidelines. To this end, it intends to build a better sense for the teaching of Life Sciences at School, seeking to interconnect the communicating vessels of nature and the need to integrate teachers and disciplines to solve problems. In this sense, we seek to select problems, discussing the limits and impediments to obtain the desired changes, as well as the training of teachers, in the 'know-how', for the attainment of such transformations.
Science and Citizenship (3 Credit Units, 45 Credit Hours)
PPECM0024 – Syllabus: This course aims to enable master students to discuss the relevance of basic science knowledge to the citizen, seeking to understand the importance of the water cycle for life on the planet; the role of cleaning agents in daily life; the use of chemical additives in food processing; the origin of artificial aromas and flavors; the greenhouse effect and the consequences of the hole in the ozone layer.
Film, Writing, Experience and Training (3 Credit Units, 45 Credit Hours)
PPECM0110 - Syllabus: Films contain, among their movements and mechanisms, an expressive force that can clarify the ways in which the viewer relates to what he/she perceives. This process is "resulting from the dynamics of attention, imagination, memory and creativity." As these items are shown as an object of reflection and formation, it is assumed that the film is a text, and, as such, it is seen slowly, with an attitude of rupture of its parts, which allows it to be understood and deciphered in its images and reflections from our sensibility of seer viewers. Thus, by means of a brief presentation and immersion in different forms of cinematic language and illustrative exercises, it will be proposed to the participants to organize the cinematographic images, in order to shift the gaze to the meaning that the film causes in the viewer, restoring all the power and ambiguity of expression and communication of film language. The classes have the purpose of addressing themes that create connections and correspondences between the dimension of the visible and the autobiographical dimension, between the stories of formation, sentimental education and education of experience and writing.
Mathematics Didactics (3 Credit Units, 45 Credit Hours)
PPECM0033 - Syllabus: Introduction to mathematics didactics, tool-object dialectic, picture game, semiotic representation register, didactic transposition, didactic contract, evaluation and didactic contract, didactic situation theory (didactic situation, adidatic situation, problem situation); errors and obstacles, notion of conception (epistemological obstacle, didactic obstacle, psychological obstacle); fundamental concepts of didactics: perspectives brought by the anthropological approach.
Environmental Education (3 Credit Units, 45 Credit Hours)
PPECM0021 - Syllabus: The course aims to discuss the international, national and local pictures for Environmental Education (EA); the theoretical frameworks of an ethical, interdisciplinary and transversal environmental education; socio-environmental biodiversity; the transversality view and the place of the environmental educator in the context of a postmodern education; teaching practice and environmental education; activities and teaching materials in Environmental Education; Environmental education and teacher training.
Philosophy of Education (3 Credit Units, 45 Credit Hours)
PPECM0134 - Syllabus: to think and discuss the idea of a dogmatic language and a thought without image; thinking of difference relating this perspective to an education through immanence.
Fundamentals of Mathematics Didactics (3 Credit Units, 45 Credit Hours)
PPECM0129 - Syllabus: Studies of models and theories for analysis of the teaching and learning phenomena of mathematics in didactic environment. Investigation of the factors that influence mathematics teaching and learning and the study of conditions that favor its acquisition by students. Planning and evaluation of mathematics.
Epistemological Historical Foundations of Mathematical Education (3 Credit Units, 45 Credit Hours)
PPECM0016 - Syllabus: The course aims to approach Mathematical Education as a research field, teaching-learning and professional field, in a historical and epistemological perspective, considering the interrelationships between science, mathematical knowledge and education, in their interactions with society.
Interpretation and Communication in Mathematics (3 Credit Units, 45 Credit Hours)
PPECM0036 - Syllabus: Analyze, reflect and understand through the reading of texts by authors consecrated in Mathematical Education and Philosophy: the reading and interpretation of a text written in mathematical language that requires not only the translation of their symbols into natural language, but also the search for the senses that are beyond this translation; - the interpretation of mathematical rules implicit in a mathematical statement written in natural language; - the process of objectivity and subjectivity in the construction of mathematical texts; - the role of semantics, syntax and pragmatics in reading and interpreting mathematical text; - the production of meanings and the construction of mathematical concepts in the teaching and learning process; - the importance of communication and dialogue between teacher and student concerning the learning of mathematics.
Environment and Teacher Training (3 Credit Units, 45 Credit Hours)
PPECM0106 - Syllabus: Environmental issue and identity, professional knowledge, formative practices and political-pedagogical field of action. Currents in Environmental Education and the conceptions of the Environment. Environmental Education Approaches and Elements for Critical Education. The relations man-society-environment. Sustainability and Environmental Education. Environment and challenges for 21st century education.
Methodology for History of Science and Education (3 Credit Units, 45 Credit Hours)
PPECM0135 - Syllabus: Philosophical studies, especially contemporary, aiming to learn the methods used in the History of Sciences in order to use them in the construction of articles, dissertations and thesis on the subject.
Mathematical Modeling (3 Credit Units, 45 Credit Hours)
PPECM0014 - Syllabus: The course aims to present the process of mathematical modeling as a generator of a teaching-learning environment. In the generated environment, mathematical contents emerge naturally in both the approach to everyday problems and problems already formalized in other sciences. The process also allows working the mathematical contents from different perspectives including socio-criticism. Mathematical modeling encourages the practice of mathematical research articulated with teaching.
Didactic Models for Science / Chemistry Teaching (3 Credit Units, 45 Credit Hours)
PPECM0017 - Syllabus: This course aims to develop students' skills and competences in the elaboration of didactic models capable of facilitating the understanding of the intimate structure of the materials and the chemical transformations that occur in them. The purpose is to offer subsidies capable of making Science / Chemistry classes more dynamic.
Reading and Writing in Mathematics (3 Credit Units, 45 Credit Hours)
PPECM0105 - Summary: this course aims to present some fundamental concepts whose authors work with language and especially with mathematical language, as well as enables the analysis of the reading process and the writing of texts in teaching and learning mathematics. Objectives - Analyze the production of student-reader meanings in the interpretation of mathematical texts. Investigate a production of mathematical texts, as well as the ritual of mathematical proof, as the space authored by the student. Understand the process of objectivity and subjectivity in the construction of mathematical texts. Analyze the role of semantics and syntax in reading and interpreting mathematical text. Understand an interpretation of records of semiotic representation through natural language. Analyze the production of meanings and the construction of mathematical concepts in the teaching and learning process. Course program: Reading and interpretation of mathematical texts. The reading and the student-reader. Production of texts in mathematical language. Authorship and writing. The mathematical proof. The style of construction of the mathematical object. The complexity of the mathematical object. Semantics and syntax. The symbols and the meanings. Records of semiotic representation and understanding of mathematical concepts. Formal language and natural language. Mathematical conceptual field. The concepts of mathematics and the concepts of everyday life. Methodology: A course will have a theoretical and practical approach: • Exhibitions • Reading and analysis of selected texts • Bibliographic research • Small group discussions • Seminars • Individual and group studies. Assessment: Students' diagnosis will consider the objectives of the course and may result in: • Observation of performance, availability, commitment and responsibility. • Production of texts and chemical analyzes related to the topics published in the syllabus. evidences as relations between the theoretical and practical aspects • Preparation of a monograph that addresses the themes presented in this discipline
The Textbook in Science Teaching (3 Credit Units, 45 Credit Hours)
PPECM0018 - Syllabus: Analysis of science textbooks, seeking to elaborate criteria to evaluate aspects contained in them, which influence the learning of scientific knowledge. In this perspective, this course aims to build alternatives to face problems observed in the bibliography used in high school.
Thought and Language in Science and Mathematics Education (3 Credit Units, 45 Credit Hours)
PPECM0009 - Syllabus: Determinants of human behavior. Thought and language in the evolution of the human species. Culture and cognition. Mediated activity: instrument and sign. Internalization of higher psychological functions. Zone of proximal development. Language development of the child. Everyday concepts and scientific concepts. The role of toy in development. The prehistory of written language. Research on science and mathematics teaching and learning processes.
Ethnomathematics Research (3 Credit Units, 45 Credit Hours)
PPECM0011 - Syllabus: Theoretical Approach of Ethnomathematics as a Research Program; Characterization of theoretical and methodological aspects of ethnomathematics research in its various dimensions (historical, political, cognitive and educational); Analysis of research in ethnomathematics under the educational dimension: development of mathematics teaching proposals, teacher training, production of activities and videos.
Consciousness Reconstruction of Basic Mathematical Concepts (3 Credit Units, 45 Credit Hours)
PPECM0084 - Syllabus: This course has as its main objective to lead the master's and doctoral students to a late awareness of the basic mathematical concepts that the teachers supposedly learned, but in fact only internalized in the form of ready recipe and, because they are basic are not addressed in undergraduate courses, becoming didactic obstacles for both teaching and learning. The theoretical aspects that underlie the discipline are fundamentally: 1. The late Consciousness according to Piaget; 2. The reflection in action according to Donald Schön. These theoretical aspects underlie the course proposal that aims to answer questions such as: Do you know (divide, for example)? How are arithmetic and algebraic operations articulated?
Relationship Between Algebra, Arithmetic and Geometry (3 Credit Units, 45 Credit Hours)
PPECM0073 - Syllabus: In this course we will discuss the relationship between Arithmetic, Algebra and Geometry in order to provide support for research and teaching of these topics in elementary, middle and higher education.
Thematic Seminar (2 Credit Units, 30 Credit Hours)
PPECM0123 - Syllabus: Seminars with various themes, usually offered by visiting professors, addressing the subject of their specialty or research.
Semiotics, Mathematical Education and Amazonian Culture (3 Credit Units, 45 Credit Hours)
PPECM0088 - Syllabus: The course aims to present semiotics, its epistemological and theoretical origin, approaching with a theory of meaning and as a methodological assumption for the analysis and description of various discourses and social practices in education, mathematics, in the context of culture. Amazon, making a study of its significant dimensions.
Sociology of Mathematics (2 Credit Units, 30 Credit Hours)
PPECM0001 - Syllabus: Scientific knowledge. The sociology. The sociology of knowledge. The sociology of mathematics. Methodological consequences of mathematical sociology.
Mathematics Specific Content Topics (3 Credit Units, 45 Credit Hours)
PPECM0029 - Syllabus: This course is presented with open menu, as it is intended to attend specific contents of interest to the students. It will be organized each year by prior survey of the students.
Natural Science Specific Content Topics (3 Credit Units, 45 Credit Hours)
PPECM0026 - Syllabus: This course is presented with open syllabus, since the purpose is to develop Natural Sciences content of interest to the students. Preliminary survey will be conducted with students, for the organization / offer of the discipline each year.
Critical Mathematics Education Topics (3 Credit Units, 45 Credit Hours)
PPECM0028 - Syllabus: Considering the necessary awareness of the mathematization of social actions desired by critical mathematics education and the difficulties of teachers and students in mathematical modeling of real situations pointed out by different authors, we reflect on the practice of mathematical modeling in social and social practices. the formal mathematical practice in order to contextualize these tasks in the school action environment from the perspective of the anthropological didactic theory. From mathematical objects of the basic education, we explore school examples and the analysis of situations of social actions, seeking to show that it is possible to build didactic sequences, or didactic transpositions, which can overcome difficulties in the construction of models of real situations and reveal the doing of critical modeling as a mathematical doing of school.
Special Science Topics (3 Credit Units, 45 Credit Hours)
PPECM0025 - Syllabus: variable, according to the contents to be developed by demand of master's degree groups or by the offer of teachers internal or external to the program.
Special Topics in Environmental Physics (3 Credit Units, 45 Credit Hours)
PPECM0022 - Syllabus: The course aims to work on concepts and physical principles present in various mechanisms of pollution and environmental control. The number and nature of the topics to be developed in this course should be defined by the teacher, in order to contemplate the interests of the group of students according to the work they are proposing to develop.
Special Topics in Physics, Society and Technology (3 Credit Units, 45 Credit Hours)
PPECM0023 Syllabus: The course aims to identify physical principles and concepts involved in various technological processes present in our daily activities, establishing relationships between physical knowledge and its power to transform society. The number and nature of the topics to be developed in this course should be defined by the teacher, in order to contemplate the interests of the group of students according to the work they are proposing to develop.
Special Mathematics Topics (3 Credit Units, 45 Credit Hours)
PPECM0027 - Syllabus: variable, according to the contents to be developed by demand of groups of master students or by the offer of teachers internal or external to the program.
Mathematical Text Translation (3 Credit Units, 45 Credit Hours)
PPECM0136 - Syllabus: This course aims to discuss some problems found in the translation of texts written in mathematical language to natural language, in teaching and learning situation.
2. Compulsory Activities - Participation in PPGECM Research Groups
The PPGECM curriculum proposal is organized into compulsory curricular activities (subjects, groups, research seminars) and, elective curricular activities (subjects, seminars, technical papers) with defined workload and credits. The Study and Research Groups registered in PPGECM consist of weekly meetings with workload intended for these purposes.
Study and Research Group on Culture and Subjectivity in Science Education (3 Credit Units, 45 Credit Hours)
Mathematics Didactics Study and Research Group (3 Credit Units, 45 Credit Hours)
Environmental Heritage Education Study and Research Group (3 Credit Units, 45 Credit Hours)
Group of Studies and Research in Philosophy and History of Science (3 Credit Units, 45 Credit Hours)
Mathematical Language Study and Research Group (3 Credit Units, 45 Credit Hours)
Mathematical Modeling Study and Research Group (3 Credit Units, 45 Credit Hours)
Research and Information Technology Research Group (3 Credit Units, 45 Credit Hours)
Amazonian Mathematics Education and Culture Study Group (3 Credit Units, 45 Credit Hours)
Mathematics History and Teaching Study Group (3 Credit Units, 45 Credit Hours)
Science, Mathematics and Inclusion Education Research Group (3 Credit Units, 45 Credit Hours)
Research Group (Trans)Formar (3 Credit Units, 45 Credit Hours)
Science, Technology, Society and Environment Education Research Group (3 Credit Units, 45 Credit Hours)